773364240 has 320 divisors, whose sum is σ = 2940883200. Its totient is φ = 186785280.

The previous prime is 773364217. The next prime is 773364253. The reversal of 773364240 is 42463377.

It is a happy number.

773364240 is a `hidden beast` number, since 7 + 7 + 3 + 3 + 642 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 773364195 and 773364204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2874826 + ... + 2875094.

It is an arithmetic number, because the mean of its divisors is an integer number (9190260).

Almost surely, 2^773364240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 773364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470441600).

773364240 is an abundant number, since it is smaller than the sum of its proper divisors (2167518960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

773364240 is a wasteful number, since it uses less digits than its factorization.

773364240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 773364240 is about 27809.4271785666. The cubic root of 773364240 is about 917.8985748084.

The spelling of 773364240 in words is "seven hundred seventy-three million, three hundred sixty-four thousand, two hundred forty".